Mathematical Quantum Theory II: Schreodinger Operators (CRM Proceedings & Lecture Notes)

Mathematical Quantum Theory II: Schreodinger Operators (CRM Proceedings & Lecture Notes)

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Description

The articles in this collection constitute the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. The meeting was run as a research-level summer school concentrating on two related areas of contemporary mathematical physics. The first area, quantum field theory and many-body theory, is covered in volume 1 of these proceedings. The second area, treated in the present volume, is Schrodinger operators. The meeting featured a series of four-hour mini-courses, designed to introduce students to the state of the art in particular areas, and thirty hour-long expository lectures. With contributions from some of the top experts in the field, this book is an important resource for those interested in activity at the frontiers of mathematical quantum theory.

Contents

Topics in spectral theory of Schrodinger operators on non-compact Riemannian manifolds with cusps by S. Agmon The general theory of $N$-body quantum systems by W. Hunziker and I. M. Sigal Lectures on large Coulomb systems by I. M. Sigal Spectral analysis of rank one perturbations and applications by B. Simon Inverse potential scattering: A geometrical approach by V. Enss and R. A. Weder New results on the long-range scattering by C. Gerard Spectral properties of the Kac operator in large dimension by B. Helffer Localization properties of continuous disordered systems in d-dimensions by J. M. Combes and P. D. Hislop Cluster WKB by T. A. Osborn and F. H. Molzahn The Selberg zeta function and scattering poles for Kleinian groups by P. A. Perry Charge transport in quantum hall systems and the index of projectors by R. Seiler Number theory, classical mechanics, and the theory of large atoms by L. A. Seco Bound for the atomic ground state density at the nucleus by H. Siedentop Spectral analysis of N-body Stark Hamiltonians by I. W. Herbst and E. Skibsted Ground state resonances for hydrogen in an intense magnetic field by R. G. Froese and R. Waxler On the scattering matrix for N-particle Hamiltonians by D. R. Yafaev.

Product Details

  • ISBN13: 9780821803660
  • Format: Paperback
  • Number Of Pages: 304
  • ID: 9780821803660
  • ISBN10: 0821803662

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